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Finding the Fourth Proportional to 214,104.56, 321,201.93 and 80,981.90

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Solution

The fourth proportional to 214,104.56, 321,201.93 and 80,981.90 is: 121,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,104.56 : 321,201.93 = 80,981.90 : x
  2. Step 2: Convert to fraction form
    214,104.56/321,201.93 = 80,981.90/x
  3. Step 3: Cross multiply
    214,104.56x = 321,201.93 × 80,981.90
  4. Step 4: Simplify right side
    214,104.56x = 26,011,542,575.07
  5. Step 5: Solve for x
    x = 26,011,542,575.07/214,104.56
  6. Step 6: Final answer
    x = 121,489.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.